# Solve for y 3/4y=1/12y+2

34y=112y+2
Combine 34 and y.
3y4=112y+2
Combine 112 and y.
3y4=y12+2
Move all terms containing y to the left side of the equation.
Subtract y12 from both sides of the equation.
3y4-y12=2
To write 3y4 as a fraction with a common denominator, multiply by 33.
3y4⋅33-y12=2
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 3y4 and 33.
3y⋅34⋅3-y12=2
Multiply 4 by 3.
3y⋅312-y12=2
3y⋅312-y12=2
Combine the numerators over the common denominator.
3y⋅3-y12=2
Simplify the numerator.
Factor y out of 3y⋅3-y.
Factor y out of 3y⋅3.
y(3⋅3)-y12=2
Factor y out of -y.
y(3⋅3)+y⋅-112=2
Factor y out of y(3⋅3)+y⋅-1.
y(3⋅3-1)12=2
y(3⋅3-1)12=2
Multiply 3 by 3.
y(9-1)12=2
Subtract 1 from 9.
y⋅812=2
y⋅812=2
Cancel the common factor of 8 and 12.
Factor 4 out of y⋅8.
4(y⋅2)12=2
Cancel the common factors.
Factor 4 out of 12.
4(y⋅2)4(3)=2
Cancel the common factor.
4(y⋅2)4⋅3=2
Rewrite the expression.
y⋅23=2
y⋅23=2
y⋅23=2
Move 2 to the left of y.
2y3=2
2y3=2
Multiply both sides of the equation by 32.
32⋅2y3=32⋅2
Simplify both sides of the equation.
Simplify 32⋅2y3.
Cancel the common factor of 3.
Cancel the common factor.
32⋅2y3=32⋅2
Rewrite the expression.
12⋅(2y)=32⋅2
12⋅(2y)=32⋅2
Cancel the common factor of 2.
Factor 2 out of 2y.
12⋅(2(y))=32⋅2
Cancel the common factor.
12⋅(2y)=32⋅2
Rewrite the expression.
y=32⋅2
y=32⋅2
y=32⋅2
Cancel the common factor of 2.
Cancel the common factor.
y=32⋅2
Rewrite the expression.
y=3
y=3
y=3
Solve for y 3/4y=1/12y+2

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